Preconditioned conjugate gradient methods for the solution of Love's integral equation with very small parameter

Lin Fu-Rong; Shi Yong-Jie

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Preconditioned conjugate gradient methods for the solution of Love's integral equation with very small parameter

机译：具有非常小参数的爱情积分方程解决方案的预处理缀合物梯度方法

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摘要

In this paper, we propose efficient numerical methods for the solution of the following Love's integral equation

机译：在本文中，我们提出了高效的数字方法，以解决以下爱的整体方程

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来源
《Journal of Computational and Applied Mathematics》 |2018年第2018期|共11页
作者
Lin Fu-Rong; Shi Yong-Jie;
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作者单位

Shantou Univ Dept Math Shantou 515063 Guangdong Peoples R China;

Shantou Univ Dept Math Shantou 515063 Guangdong Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类计算数学;应用数学;
关键词
Love's integral equation; Composite Gauss-Legendre quadrature; Block matrix with Toeplitz blocks; Preconditioned conjugate gradient method;

机译：爱的整体方程;复合高斯 - legendre正交;块矩阵与toeplitz块;预处理的共轭梯度法;

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专利

1. Preconditioned conjugate gradient methods for the solution of Love's integral equation with very small parameter [J] . Lin Fu-Rong, Shi Yong-Jie Journal of Computational and Applied Mathematics . 2018,第期

机译：具有非常小参数的爱情积分方程解决方案的预处理缀合物梯度方法
2. PRECONDITIONED CONJUGATE GRADIENT AND MULTIGRID METHODS FOR NUMERICAL SOLUTION OF MULTICOMPONENT MASS TRANSFER EQUATIONS II. CONVECTION-DIFFUSION-REACTION EQUATIONS [J] . Gheorghe Juncu, Aurelian Nicola, Constantin Popa, Numerical Heat Transfer, Part A. Application: An International Journal of Computation and Methodology . 2014,第7a12期

机译：多组分传质方程数值解的预处理共轭梯度和多重网格方法II。对流扩散反应方程
3. PRECONDITIONED CONJUGATE GRADIENT AND MULTIGRID METHODS FOR NUMERICAL SOLUTION OF MULTICOMPONENT MASS TRANSFER EQUATIONS I. DIFFUSION-REACTION EQUATIONS [J] . Gheorghe Juncu, Aurelian Nicola, Constantin Popa, Numerical Heat Transfer, Part A. Application: An International Journal of Computation and Methodology . 2014,第7a12期

机译：多组分传质方程数值解的预处理共轭梯度和多重网格方法I.扩散反应方程
4. SSOR preconditioned conjugate gradient method for solution of large sparse linear equations from vector FEM [C] . Chen, R.S., Yung, . 2001

机译：向量有限元法求解大型稀疏线性方程组的SSOR预条件共轭梯度法
5. Multilevel preconditioning methods for the parallel iterative solution of large, sparse systems of equations. [D] . Turner, Wesley D. 2001

机译：适用于大型稀疏方程组的并行迭代求解的多级预处理方法。
6. A family of conjugate gradient methods for large-scale nonlinear equations [O] . Dexiang Feng, Min Sun, Xueyong Wang -1

机译：一类用于大型非线性方程的共轭梯度方法
7. A fast realization of preconditioned Conjugate Gradients for Wiener-Hopf integral equations [O] . Gohberg I., Koltracht I. 1995

机译：Wiener-Hopf积分方程的预处理共轭梯度的快速实现
8. Preconditioned Conjugate-Gradient Methods for Nonsymmetric Systems of Linear Equations [R] . Elman, H. C. 1981

机译：非对称线性方程组的预条件共轭 - 梯度法

Preconditioned conjugate gradient methods for the solution of Love's integral equation with very small parameter

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